Answer:
[tex] \boxed{A. \: 1} [/tex]
Step-by-step explanation:
[tex] = > x + \frac{1}{5} (x - 1) = 1 \\ \\ = > x + ( \frac{1}{5} \times x) - (\frac{1}{5} \times 1) = 1 \\ \\ = > x + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = >( x \times \frac{5}{5} ) + \frac{x}{5} - \frac{1}{5} = 1 \\ \\ = > \frac{5x}{5} + \frac{x}{5} = 1 + \frac{1}{5} \\ \\ = > \frac{5x + x}{5} = (1 \times \frac{5}{5} ) + \frac{1}{5} \\ \\ = > \frac{6x}{5} = \frac{5}{5} + \frac{1}{5} \\ \\ = > \frac{6x}{ \cancel{5}} = \frac{5 + 1}{ \cancel{5}} \\ \\ = > 6x = 6 \\ \\ = > x = \frac{ \cancel{6}}{ \cancel{6}} \\ \\ = > x = 1[/tex]
